Eigenvectors of the SO(3,R) matrices

Sasane, A.ORCID logo & Ufnarovski, V. (2019). Eigenvectors of the SO(3,R) matrices. Journal of Geometry and Symmetry in Physics, 53, 85-102. https://doi.org/10.7546/jgsp-53-2019-85-102
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Let R=(rij)∈ SO(3,R). We give several different proofs of the fact that the vector V:=(1r23+r32,1r13+r31,1r12+r21)t if it exists, is an eigenvector of R corresponding to the eigenvalue one.
Item Type Article
Copyright holders © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Departments LSE > Academic Departments > Mathematics
DOI 10.7546/jgsp-53-2019-85-102
Date Deposited 28 Oct 2019
Acceptance Date 27 Oct 2019
URI https://researchonline.lse.ac.uk/id/eprint/102249

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